Answer:
Step-by-step explanation:
13) x⁴-12x² +36
(a-b)² = a²-2ab+b²
a = x² ; b = 6
(x²)² - 2 * x² * 6 + 6² = (x² - 6)²
14) w⁴- 14w² - 32 = w⁴+ 2w² - 16w² - 32 = w² (w² + 2) - 16 (w²+2)
= (w² + 2) (w² -16 )
15) k³ + 7k² - 44k = k ( k² + 7k -44) = k ( k+11 ) ( k-4 )
16) 2a³ +28a²+96a =2a(a²+14a+48) = 2a(a+6)(a+8)
17) -x³ +4x² +21x = (-x) ( x² - 4x - 21) = (-x)(x-7)(x+3)
18) m⁶ - 7m⁴ -18m² = m² ( m⁴-7m²-18) = m² (m²-9)(m²+9)
= m² (m+1) (m-1)(m²+9)
19) 9y⁶ +6y⁴ + y²= y² ( 9y⁴+6y²+1) = y² (3y²+1)²
20) 8c⁴+10c² -3 = (4c +1)(2c-3)
Answer:
Area = 228 m²
Perimeter = 60 m
Step-by-step explanation:
The figure given shows a rectangle that has a cut triangular portion.
✔️Area of the figure = area of rectangle - area of the triangular cut portion
= L*W + ½*bh
Where,
L = 20 m
W = 12 m
b = 20 - (8 + 8) = 4 m
h = 6 m
Plug in the values
Area = 20*12 - ½*4*6
Area = 240 - 12
Area = 228 m²
✔️Perimeter = perimeter of rectangle - base of the triangular cut portion
= 2(L + W) - b
L = 20 m
W = 12 m
b = b = 20 - (8 + 8) = 4 m
Plug in the values
Perimeter = 2(20 + 12) - 4
= 2(32) - 4
= 64 - 4
Perimeter = 60 m
A) $15 ÷ 40% =
15×.4= 6
15+6= 21
B) $38 × .25=9.5
38-9.5=28.50
28.50×.06=1.71
28.50+1.17=30.21
I think this is how you do it. would wait for other answers as well to double check.
Answer: The answer is (d) 
Step-by-step explanation: Given equation to be factored is
The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.
So, the given equation can be factorised using the above rule. The factorisation is as follows.
Thus, the correct option is (d).
Answer:
b) 
Step-by-step explanation:
b) To find the inverse function, switch the 
and 
variables and solve for :
Verify Answer:
